The atomic radius of metal X is 125 picometers (pm) and a crystal of metal X has a unit cell that is facecentered cubic. Calculate the density of metal X (atom
Chemistry
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Question
The atomic radius of metal X is 125 picometers (pm) and a crystal of metal X has a unit cell that is facecentered cubic. Calculate the density of metal X (atomic weight = 42.3 g/mol).
1 Answer

1. User Answers okpalawalter8
We have that the Density of metal X is mathematically given as
[tex]\phi= 6359.44 Kg/m^3[/tex]
Density of metal
Generally the equation for the side of fcc is mathematically given as
[tex]Fcc=2*\sqrt(2) *radius of metal\\\\Fcc== 2*1.414*125\\\\Fcc 353.5*10^12 m \\\\[/tex]
Where
volume of 1 unit cell of fcc
[tex]FccV= (353.5*10^12)^3\\\\FccV =44174155.375 *10^36 m^3\\\\[/tex]
And
weight of 1 atom
[tex]Wa= moleular weight / avogadro number\\\\Wa = 42.3/(6.023 *10^23) \\\\Wa= 7.023 *10^23 gm/atom\\\\[/tex]
Therefore
density
[tex]\phi= (28.0923 *10^26) / ( 44174155.375 *10^36)[/tex]
[tex]\phi= 6359.44 Kg/m^3[/tex]
For more information on Atoms visit
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